SOLID MENSURATION

PRISM

________- a solid shape that is bound on all its sides by plane faces.

PYRAMID

________- is a polyhedron formed by connecting a polygonal base and a point, called the apex.

POLYHEDRON

________- is a solid which is bounded by polygons joined at their edges.

RAY

________- a portion of a line that consists of an endpoint and a set of all points on one side of the line.

COROLLARY

________- statements consequent to the theorem.

THEOREMS

________- statements that need to be proved.

ANGLES

________- set of all points that are the union of rays having the same endpoint.

LEMMA

________- a proven statement used to prove a theorem.

flat surface

PLANE- a(n) ________ that extends indefinitely.

DIAGONAL

________- a line segment whose endpoints are nonconsecutive vertices of a polygon.

DIAGONALS

________- are any straight lines joining any two vertices that are not in the same face.

POLYGON

________- closed plane figure formed by three or more line segments.

POINT

________- a fixed location in space represented by a dot.

EDGES

________- the intersection of the bounding plane.

REGULAR POLYGON

________- a polygon that is both equilateral and equiangular.

VERTEX

________- the intersection of two sides in a polygon.

IRREGULAR

________- made of the same or different irregular polygons.

SIMILAR SOLIDS

________- two or more solids that have the same shape but not the same size.

AREA OF A PLANE

________- the space enclosed by the boundary of a plane figure.

AXIOM METHOD

________- used to arrive at a theory based on axioms.

SOLID

________- any limited portion of space bounded by surfaces of plane figures.

LINES

________- is contained within two points and extends indefinitely in two opposite directions.

AXIOMS POSTULATES

________- self- evident statements that do not require proof.

SOLID MENSURATION

also known as solid geometry, it is the study of various solids (Volume Area, Height, etc.)

SOLID

any limited portion of space bounded by surfaces of plane figures

PLANE FIGURE

two dimensional

SOLID FIGURE

three dimensional

EDGES

the intersection of the bounding plane

FACES

the portions of the bounding planes included by the edges

VERTICES

the intersections of the edge

DIAGONALS

are any straight lines joining any two vertices that are not in the same face

SECTION

plane figure formed by the intersection of a plane and a solid

RIGHT SECTION

a section of solid that is perpendicular to one of its lateral edges

VOLUME OF A SOLID

a ________ is the amount of space it occupies

AREA OF A PLANE

the space enclosed by the boundary of a plane figure

SURFACE AREA OF A SOLID

also known as Total Surface area, it is the area of a 3-dimensional surface or solid

LATERAL AREA OF A SOLID

areas of the lateral or side surfaces except for the base and top

POLYHEDRON

is a solid which is bounded by polygons joined at their edges

REGULAR

made of the same, regular polygons

IRREGULAR

made of the same or different irregular polygons

PLATONIC SOLIDS OR REGULAR POLYHEDRA

solids that have polygonal faces that are similar in form, height, angles, and edges

PRISM

a solid shape that is bound on all its sides by plane faces

PYRAMID

is a polyhedron formed by connecting a polygonal base and a point, called the apex

SIMILAR SOLIDS

two or more solids that have the same shape but not the same size

AXIOM METHOD

used to arrive at a theory based on axioms

AXIOMS/POSTULATES

self-evident statements that do not require proof

THEOREMS

statements that need to be proved

PROPOSITION

same definition, but of lesser importance than a theorem

LEMMA

a proven statement used to prove a theorem

COROLLARY

statements consequent to the theorem

POINT

a fixed location in space represented by a dot

LINES

is contained within two points and extends indefinitely in two opposite directions

LINE SEGMENT

line with two endpoints

RAY

a portion of a line that consists of an endpoint and a set of all points on one side of the line

COLLINEAR POINTS

points that lie on the same line

NONCOLLINEAR POINTS

no line on which all of the points lie

PLANE

a flat surface that extends indefinitely

COPLANAR POINTS

are points that lie on the same plane

PARALLEL LINES

are lines in the same plane that have no points in common

SKEW LINES

non-coplanar lines that do not parallel nor intersect

PARALLEL PLANES

planes that do not intersect

ANGLES

set of all points that are the union of rays having the same endpoint

VERTICAL ANGLES

angles lying on opposite sides or a pair of non-adjacent angles formed by two lines that are intersecting

CONGRUENT ANGLES

have the same angle measure

ALTERNATE EXTERIOR ANGLES

pair of angles that are formed on the other side of the parallel lines but on the opposite side of the transversal

CORRESPONDING ANGLES

angles formed in matching corners or corresponding corners with the transversal

DIHEDRAL ANGLE

an angle formed by two intersecting planes

ADJACENT DIHEDRAL ANGLE

two dihedral angles having a common edge and a common face

PERPENDICULAR PLANES

are two intersecting planes that form a right dihedral angle

POLYHEDRAL ANGLE

an angle formed by three or more intersecting planes at a common point or vertex

POLYGON

closed plane figure formed by three or more line segments

SIDES

line segments

VERTEX

the intersection of two sides in a polygon

CONSECUTIVE SIDES

are sides that share a common vertex

CONSECUTIVE VERTICES

two endpoints of any side of a polygon

DIAGONAL

a line segment whose endpoints are nonconsecutive vertices of a polygon

CONVEX POLYGON

where diagonals lie inside of a polygon

CONCAVE POLYGON

where diagonals lie outside of a polygon

EQUILATERAL

congruent sides

EQUIANGULAR

congruent angles

REGULAR POLYGON

a polygon that is both equilateral and equiangular